Table 2. Inputs and calculation of the “treeishness” statistic. p-values are the one-tailed probability of τ being equal or greater than one, or being equal or less than 0, respectively, given the observed mean and standard deviation of τ.

Treeclouds input	UPs?	mean gene-UP distance	mean gene-random distance	mean UP-random distance	treeishness (from means)	mean of treeishness array	SD of treeishness array	P(τ≥1)	P(τ≥0)
Symmetric	Yes	16.86	49.51	49.42	0.66	0.66	0.13	0.004	1.31E-07
RF	Yes	0.58	1.61	1.64	0.65	0.65	0.08	9.99E-06	3.54E-15
Symmetric	No	16.86	49.50	49.42	0.66	0.66	0.13	0.004	1.31E-07
RF	No	0.58	1.61	1.64	0.65	0.65	0.08	1.25E-05	7.33E-15